While I do spend lots of time pushing the idea of linear approximations on my students, we do need nonlinear functions to describe most interesting physical phenomena.

In this problem, the optimal path is one that maximizes the expected utility, with the utility function being piecewise-linear and concave. Such a utility function can be used to approximate nonlinear ...

A new class of methods for solving systems of nonlinear equations, called tensor methods, is introduced. Tensor methods are general purpose methods intended especially for problems where the Jacobian ...